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Finding the Third Proportional to 71,793 and 157,194

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Solution

The third proportional to 71,793 and 157,194 is: 344,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,793 : 157,194 = 157,194 : x
  2. Step 2: Convert to fraction form
    71,793/157,194 = 157,194/x
  3. Step 3: Cross multiply
    71,793x = 157,194 × 157,194
  4. Step 4: Simplify right side
    71,793x = 24,709,953,636
  5. Step 5: Solve for x
    x = 24,709,953,636/71,793
  6. Step 6: Final answer
    x = 344,183.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.